83138964480 has 1584 divisors, whose sum is σ = 361514479872. Its totient is φ = 17517772800.

The previous prime is 83138964463. The next prime is 83138964499. The reversal of 83138964480 is 8446983138.

83138964480 is a `hidden beast` number, since 83 + 1 + 3 + 89 + 6 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2246999022 + ... + 2246999058.

Almost surely, 2^83138964480 is an apocalyptic number.

83138964480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83138964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180757239936).

83138964480 is an abundant number, since it is smaller than the sum of its proper divisors (278375515392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83138964480 is a wasteful number, since it uses less digits than its factorization.

83138964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 83138964480 in words is "eighty-three billion, one hundred thirty-eight million, nine hundred sixty-four thousand, four hundred eighty".